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Finding the Fourth Proportional to 13,834.64, 20,760.19 and 5,070.17

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Solution

The fourth proportional to 13,834.64, 20,760.19 and 5,070.17 is: 7,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834.64 : 20,760.19 = 5,070.17 : x
  2. Step 2: Convert to fraction form
    13,834.64/20,760.19 = 5,070.17/x
  3. Step 3: Cross multiply
    13,834.64x = 20,760.19 × 5,070.17
  4. Step 4: Simplify right side
    13,834.64x = 105,257,588.73
  5. Step 5: Solve for x
    x = 105,257,588.73/13,834.64
  6. Step 6: Final answer
    x = 7,608.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.